We appreciate your visit to Convert the following measurements a 13 miles to yards b 67 square feet to square inches c 4 800 inches to feet d 87 120. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The measurements in required units:
(a) 13 miles = 22,880 yards
(b) 67 ft² = 9,648 in²
(c) 4,800 inches = 399.84 ft
(d) 87,120 square yards = 420,869,565.22 acre
(e) 3 miles = 5280 yard
(f) 54 inch = 1.5012 yard
(g) 12 yard = 36 ft
(h) 7 acre = 304,920 ft²
Use the concept of measurement unit defined as:
A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.
(a) Conversion of 13 miles to yards:
Since 1 mile = 1760 yards
Therefore,
13 miles = 13 x 1760 yards
Hence,
13 miles = 22,880 yards
(b) Conversion of 67 square feet to square inches:
Since 1 ft² = 144 in²
Therefore,
67 ft² = 67x144 in²
Hence,
67 ft² = 9,648 in²
(c) Conversion of 4,800 inches to feet:
Since, 1 inch = 0.0833 ft
Therefore,
4,800 inches = 4800 x 0.0833 ft
Hence,
4,800 inches = 399.84 ft
(d) Conversion of 87,120 square yards to acres:
Since, 1 square yard = 0.000207 acre
Therefore,
87,120 square yards = 87120 x 0.000207 acre
Hence,
87,120 square yards = 420,869,565.22 acre
(e) Conversion of 3 miles to yards:
Since, 1 mile = 1760 yard
Therefore,
3 miles = 3x1760 yard
Hence,
3 miles = 5280 yard
(f) Conversion of 54 inches to yards:
Since 1 inch = 0.0278 yard
Therefore,
54 inch = 54 x 0.0278 yard
Hence,
54 inch = 1.5012 yard
(g) Conversion of 12 yards to feet:
Since, 1 yard = 3 ft
Therefore,
12 yard = 3x12 ft
Hence,
12 yard = 36 ft
(h) Conversion of 7 acres to square feet:
Since, 1 acre = 43560 ft²
Therefore,
7 acre = 7x43560 ft²
Hence,
7 acre = 304,920 ft²
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For example,
h. 7 acres to square feet = 304920 square feet
_____
There are a few conversions you are expected to know: feet to inches, yards to feet, miles to feet (or yards). Acres are a little more difficult, as they are generally defined in terms of a rectangle, not a square. Raised on a farm, I know there are 640 acres in a square mile, so dividing (5280 ft)^2 by 640 gives 43560 ft^2, the number of square feet in an acre.
To do conversions of any kind (not just distance or area), you write the conversion factor as a fraction with a value of 1. That is, the numerator has the same value the denominator has, but in different units. You choose the bottom units to cancel the units you have, and the top units to give you what you want.
a. 1 mile = 1760 yd
You want yards and have miles, so you write the conversion factor as (1760 yd)/(1 mi). Multiply by this.
.. (13 mi)*(1760 yd)/(1 mi) = 13*1760 yd = 22,880 yd
For area measures, you use the square of the linear conversion factor.
b. 1 ft = 12 in
.. 67 ft^2 * ((12 in)/(1 ft))^2 = 67*12^2 in^2 = 9648 in^2
Sometimes you need to go through an intermediate step if you don't have the direct conversion factor.
d. 87120 yd^2 * ((3 ft)/(1 yd))^2 * (1 ac)/(43560 ft^2) = 87120*3^2/43560 ac
.. = 18 ac
For example,
h. 7 acres to square feet = 304920 square feet
_____
There are a few conversions you are expected to know: feet to inches, yards to feet, miles to feet (or yards). Acres are a little more difficult, as they are generally defined in terms of a rectangle, not a square. Raised on a farm, I know there are 640 acres in a square mile, so dividing (5280 ft)^2 by 640 gives 43560 ft^2, the number of square feet in an acre.
To do conversions of any kind (not just distance or area), you write the conversion factor as a fraction with a value of 1. That is, the numerator has the same value the denominator has, but in different units. You choose the bottom units to cancel the units you have, and the top units to give you what you want.
a. 1 mile = 1760 yd
You want yards and have miles, so you write the conversion factor as (1760 yd)/(1 mi). Multiply by this.
.. (13 mi)*(1760 yd)/(1 mi) = 13*1760 yd = 22,880 yd
For area measures, you use the square of the linear conversion factor.
b. 1 ft = 12 in
.. 67 ft^2 * ((12 in)/(1 ft))^2 = 67*12^2 in^2 = 9648 in^2
Sometimes you need to go through an intermediate step if you don't have the direct conversion factor.
d. 87120 yd^2 * ((3 ft)/(1 yd))^2 * (1 ac)/(43560 ft^2) = 87120*3^2/43560 ac
.. = 18 ac
